Pith Number

pith:2ULKPHCD

pith:2018:2ULKPHCDCADE7QYLYAFGWAUFGL

not attested not anchored not stored refs pending

New Look at Finite Single Server Queue with Poisson Input and Semi-Markov Service Times

Krzysztof Rusek, Zdzis{\l}aw Papir

arxiv:1806.05462 v1 · 2018-06-14 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ULKPHCDCADE7QYLYAFGWAUFGL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:13:15.893964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d516a79c4310064fc30bc00a6b028532f87126d95bd52cd227b9d64481a3324f

Aliases

arxiv: 1806.05462 · arxiv_version: 1806.05462v1 · doi: 10.48550/arxiv.1806.05462 · pith_short_12: 2ULKPHCDCADE · pith_short_16: 2ULKPHCDCADE7QYL · pith_short_8: 2ULKPHCD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2ULKPHCDCADE7QYLYAFGWAUFGL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d516a79c4310064fc30bc00a6b028532f87126d95bd52cd227b9d64481a3324f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fce427f6cc65bec51db302e60acd01dc50046c32effa0062cc8c38656538ae5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-14T11:01:28Z",
    "title_canon_sha256": "98447827c7a70607e98c5680eeccba7e4dec6b4f1095bac3733fa031b26fa083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05462",
    "kind": "arxiv",
    "version": 1
  }
}